For exploratory and training purposes, we make use of a library of synthetic spectra. To build the synthetic spectra library, we proceed similarly to the approach described by [1]}. In short, we use a specific grid of model atmospheres computed with the MARCS code [2]}, which takes into account the impact of the carbon enhancement in the atmosphere. From those model atmospheres we generate the synthetic spectra using the Turbospectrum routine [3]}, [4]}. Compared to [1]}, we improve the procedure in several aspects. First, we extend the wavelength range, now covering the entire optical region from 3000 Å to 10,000 Å. In addition, we update the linelists, which now include CN, CH, NH, C\(_2\) , MgH, TiO, ZrO, CaH, VO, and SiH for the molecules, and the ultimate version of VALD3 [6]} for the atoms. Finally, we extend the grid to a much larger space of parameters, \(3500\le T_{\rm eff}\)  (K) \(\le 8000\)  in increments of 250 K, \(0.0 \le \)  \(\log {g}\)  \(\le 5.0\)  in increments of 0.5 dex, \( -4.5 \le \)  [Fe/H] \(\le +0.5\)  in increments of 0.25 dex, and \(-1.5 \le \)  [C/Fe] \(\le +4.5\)  in increments of 0.25 dex.
